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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 261 · 40 sums
TalentJR

The method (Threes make cubes): Cube: n × n × n. Cube root: the number that, used three times, gives the cube. Units digits: 1→1, 2→8, 3→7, 4→4, 5→5, 6→6, 7→3, 8→2, 9→9, 0→0 — use them to guess cube roots. Make a perfect cube: break into primes; multiply by what completes each group of three (or divide by what is left over). A big cube of edge a cut into small cubes of edge b gives (a ÷ b)³ small cubes.

NameDateTime takenScore ___ / 40
  1. 1.What is 8³? =
  2. 2.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  3. 3.What is 13³? =
  4. 4.What is ∛15625? =
  5. 5.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  6. 6.What is ∛343? =
  7. 7.What is the smallest whole number by which 40 must be multiplied to get a perfect cube?
  8. 8.What is 14³? =
  9. 9.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  10. 10.What is 17³? =
  11. 11.What is 10³? =
  12. 12.What is 3³? =
  13. 13.Which of these is a perfect cube? (a) 46 (b) 38 (c) 27
  14. 14.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  15. 15.What is 5³? =
  16. 16.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  17. 17.What is 4³? =
  18. 18.What is the smallest whole number by which 256 must be multiplied to get a perfect cube?
  19. 19.What is 16³? =
  20. 20.Which of these is a perfect cube? (a) 1331 (b) 1658 (c) 1356
  21. 21.What is ∛4096? =
  22. 22.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  23. 23.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  24. 24.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  25. 25.Which of these is a perfect cube? (a) 604 (b) 512 (c) 592
  26. 26.What is ∛2744? =
  27. 27.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  28. 28.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  29. 29.Which of these is a perfect cube? (a) 240 (b) 216 (c) 307
  30. 30.What is ∛12167? =
  31. 31.Which of these is a perfect cube? (a) 3451 (b) 3749 (c) 3375
  32. 32.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  33. 33.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  34. 34.What is ∛512? =
  35. 35.What is the smallest whole number by which 675 must be multiplied to get a perfect cube?
  36. 36.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  37. 37.What is ∛729? =
  38. 38.What is ∛3375? =
  39. 39.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  40. 40.What is the smallest whole number by which 5 must be divided to get a perfect cube?

Answer key

  1. 512
  2. 9
  3. 2197
  4. 25
  5. 7
  6. 7
  7. 25
  8. 2744
  9. 216
  10. 4913
  11. 1000
  12. 27
  13. 27
  14. 3
  15. 125
  16. 14
  17. 64
  18. 2
  19. 4096
  20. 1331
  21. 16
  22. 19
  23. 8
  24. 12
  25. 512
  26. 14
  27. 64
  28. 4
  29. 216
  30. 23
  31. 3375
  32. 18
  33. 27
  34. 8
  35. 5
  36. 5
  37. 9
  38. 15
  39. 2
  40. 5

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